IntegerPartitions

IntegerPartitions[n] gives a list of all possible ways to partition the integer n into smaller integers.

IntegerPartitions[n, k] gives partitions into at most k integers.

IntegerPartitions[n, {k}] gives partitions into exactly k integers.

IntegerPartitions[n, {kmin, kmax}] gives partitions into between kmin and kmax integers.

IntegerPartitions[n, kspec, {s1, s2, ...}] gives partitions involving only the si.

IntegerPartitions[n, kspec, sspec, m] limits the result to the first m partitions.

Examples

IntegerPartitions[5]
(* {{5}, {4, 1}, {3, 2}, {3, 1, 1}, {2, 2, 1}, {2, 1, 1, 1}, {1, 1, 1, 1, 1}} *)

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